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Lines x & y are parallel, transversal lines l & m are also parallel to each other. Find the value of ∠p?

Lines x & y are parallel, transversal lines l & m are also parallel to each other. Find the value of ∠p? Correct Answer 130° 

Given:

Lines x, y & l, m are parallel to each other.

∠DCE = 50° 

Concept used:

When two parallel lines are intersected by a transversal then the corresponding angle so formed are equal to each other.

Sum of interior angles on the same side of transversal line is 180°.

Explanation:

∠DCE = ∠ABC      ----(Corresponding angles)

⇒ ∠ABC = 50°      

∠BAD + ∠ABC = 180°    ----(Sum of interior angles on the same side of transversal line is 180°)

⇒ ∠p + 50° = 180°

⇒ ∠p = 130° 

∴ ∠p is 130°.

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